Continuum percolation with steps in an annulus

Annals of Applied Probability

Volumn 14, Issue 4, 2004, Pages 1869-1879

  Balister, Paul ^a   Bollobás, Béla ^b   Walters, Mark ^a  

^a UNIVERSITY OF MEMPHIS   (United States)

^b University of Memphis   (United States)

Author keywords

Annulus; Continuous percolation; Continuum percolation

Indexed keywords

EID: 26844564737     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051604000000891     Document Type: Article

References (8)

1. ATHREYA, K. B. and NEY, P. (1972). Branching Processes. Springer, Berlin.
2. BALISTER, P., BOLLOBÁS, B. and STAGEY, A. (1994). Improved upper bounds for the critical probability of oriented percolation in two dimensions. Random Structures Algorithms 5 573-589.
3. BOLLOBÁS, B. (2001). Random Graphs, 2nd ed. Cambridge Univ. Press.
4. FRANCESCHETTI, M., BOOTH, L., COOK, M., MEESTER, R. and BRUCK, J. (2003). Unpublished manuscript.
5. GRIMMETT, G. R. (1999). Percolation, 2nd ed. Springer, New York.
6. HÄGGSTRÖM, O. and MEESTER, R. (1996). Nearest neighbor and hard sphere models in continuum percolation. Random Structures Algorithms 9 295-315.
7. JONASSON, J. (2001). Optimization of shape in continuum percolation. Ann. Probab. 29 624-635.
8. MEESTER, R. and ROY, R. (1996). Continuum Percolation. Cambridge Univ. Press.